Question

Use the vertical line test to determine if y is a function of x.

Answer 1

To use the vertical line test, we need to visualize the graph of the relationship between x and y. If each vertical line intersects the graph at most once, then the relationship is a function.

Let's consider an example:

Suppose we have the following set of points: (1, 4), (2, -2), (3, 5), (4, 1), (5, 3).

To check if y is a function of x, we plot these points on a graph. After connecting them, we observe that each vertical line intersects the graph at most once. Hence, y is a function of x.